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Finding the Fourth Proportional to 476,655.84, 657,790.47 and 261,800.91

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Solution

The fourth proportional to 476,655.84, 657,790.47 and 261,800.91 is: 361,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,655.84 : 657,790.47 = 261,800.91 : x
  2. Step 2: Convert to fraction form
    476,655.84/657,790.47 = 261,800.91/x
  3. Step 3: Cross multiply
    476,655.84x = 657,790.47 × 261,800.91
  4. Step 4: Simplify right side
    476,655.84x = 172,210,143,635.33
  5. Step 5: Solve for x
    x = 172,210,143,635.33/476,655.84
  6. Step 6: Final answer
    x = 361,288.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.